UNIVERSITY PHYSICS,VOL.1 (OER)
18th Edition
ISBN: 2810021150053
Author: OpenStax
Publisher: XANEDU
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Textbook Question
Chapter 1, Problem 12CQ
Describe a situation in which
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
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Q Search
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 1 Solutions
UNIVERSITY PHYSICS,VOL.1 (OER)
Ch. 1 - Check Your Understanding Does a given reading on a...Ch. 1 - Check Your Understanding Two objects A and B have...Ch. 1 - Check Your Understanding If 25 kJ is necessary to...Ch. 1 - Check Your Understanding Explain why a cup of...Ch. 1 - Check Your Understanding Why does snow Often...Ch. 1 - Check Your Understanding Name an example from...Ch. 1 - Check Your Understanding How does the rate of heat...Ch. 1 - Check Your Understanding Explain why using a fan...Ch. 1 - Check Your Understanding How much greater is the...Ch. 1 - What does it mean to say that two systems are in...
Ch. 1 - Give an example in which A has some kind of...Ch. 1 - If a thermometer is allowed to come to equilibrium...Ch. 1 - Give an example of a physical property that varies...Ch. 1 - Pouring cold water into hot glass or ceramic...Ch. 1 - One method of getting a tight fit, say of a metal...Ch. 1 - Does it really help to run hot water over a tight...Ch. 1 - When a cold alcohol thermometer is placed in a hot...Ch. 1 - Calculate the length of a 1-meter rod of a...Ch. 1 - Noting the large stresses that can be caused by...Ch. 1 - How is heat transfer related to temperature?Ch. 1 - Describe a situation in which heat transfer...Ch. 1 - When heat transfers into a system, is the energy...Ch. 1 - The brakes in a car increase in temperature by T...Ch. 1 - A pressure cooker contains water and steam in...Ch. 1 - As shown below, which is the phase diagram for...Ch. 1 - Can carbon dioxide be liquefied at room...Ch. 1 - What is the distinction between gas and vapor?Ch. 1 - Heat transfer can cause temperature and phase...Ch. 1 - How does the latent heat of fusion of water help...Ch. 1 - What is the temperature of ice right after it is...Ch. 1 - If you place 0 ice into 0 water in an insulated...Ch. 1 - What effect does condensation on a glass of ice...Ch. 1 - In Miami, Florida, which has a very humid climate...Ch. 1 - In winter, it is often warmer in San Francisco...Ch. 1 - Freeze-dried foods have been dehydrated in a...Ch. 1 - In a physics classroom demonstration, an...Ch. 1 - Mechanisms of Heat Transfer What are the main...Ch. 1 - When our bodies get too warm, they respond by...Ch. 1 - Shown below is a cut-away drawing of a thermos...Ch. 1 - Some electric stoves have a flat ceramic surface...Ch. 1 - Loose-fitting white clothing covering most of the...Ch. 1 - One way to make a fireplace more energy-efficient...Ch. 1 - On cold, clear nights horses will sleep under the...Ch. 1 - When watching a circus during the day in a large,...Ch. 1 - Satellites designed to observe the radiation from...Ch. 1 - Why are thermometers that ale used in weather...Ch. 1 - Putting a lid on a boiling pot greatly reduces the...Ch. 1 - Your house will be empty for a while in cold...Ch. 1 - You pour coffee into an unlidded cup, intending to...Ch. 1 - Broiling is a method of cooking by radiation,...Ch. 1 - On a cold winter morning, why does the metal of a...Ch. 1 - While traveling outside the United States, you...Ch. 1 - What are the following temperatures on the Kelvin...Ch. 1 - (a) Suppose a cold front blows into your locale...Ch. 1 - An Associated Press article on climate change...Ch. 1 - (a) At what temperature do the Fahrenheit and...Ch. 1 - A person taking a reading of the temperature in a...Ch. 1 - The height of the Washington Monument is measured...Ch. 1 - How much taller does the Eiffel Tower become at...Ch. 1 - What is the change in length of a 3.00-cm-long...Ch. 1 - How large an expansion gap should be left between...Ch. 1 - You are looking to buy a small piece of land in...Ch. 1 - Global warming will produce rising sea levels...Ch. 1 - (a) Suppose a meter stick made of steel and one...Ch. 1 - (a) If a 500-mL glass beaker is filled to the brim...Ch. 1 - Most cars have a coolant reservoir to catch...Ch. 1 - A physicist makes a cup of instant coffee and...Ch. 1 - The density of water at 0 C is very nearly 1000...Ch. 1 - Show that =3a , by calculating the infinitesimal...Ch. 1 - Calorimetry On a hot day, the temperature of an...Ch. 1 - To sterilize a 50.0-g glass baby bottle, we must...Ch. 1 - The same heat transfer into identical masses of...Ch. 1 - Rubbing your hands together warms them by...Ch. 1 - A 0.250-kg block of a pule material is heated from...Ch. 1 - Suppose identical amounts of heat transfer into...Ch. 1 - (a) The number of kilocalories in food is...Ch. 1 - Following vigorous exercise, the body...Ch. 1 - In a study of healthy young men[1], doing 20...Ch. 1 - A 1.28-kg sample of water at 10.0 is in a...Ch. 1 - Repeat the preceding problem, assuming the water...Ch. 1 - How much heat transfer (in kilocalories) is...Ch. 1 - A bag containing 0 ice is much more effective in...Ch. 1 - (a) How much heat transfer is required to raise...Ch. 1 - Condensation on a glass of ice water causes the...Ch. 1 - On a trip, you notice that a 3.50-kg bag of ice...Ch. 1 - On a certain dry sunny day, a swimming pool 's...Ch. 1 - (a) How much heat transfer is necessary to raise...Ch. 1 - In 1986, an enormous iceberg broke away from the...Ch. 1 - How many grams of coffee must evaporate from 350 g...Ch. 1 - (a) It is difficult to extinguish a fire on a...Ch. 1 - The energy released from condensation in...Ch. 1 - To help prevent frost damage, 4.00 kg of water at...Ch. 1 - A 0.250-kg aluminum bowl holding 0.800 kg of soup...Ch. 1 - A 0.0500-kg ice cube at 30.0 is placed in 0.400...Ch. 1 - If you pour 0.0100 kg of 20.0 water onto a...Ch. 1 - Indigenous people sometimes cook in watertight...Ch. 1 - What would the final temperature of the pan and...Ch. 1 - (a) Calculate the rate of heat conduction through...Ch. 1 - The rate of heat conduction out of a window on a...Ch. 1 - Calculate the rate of heat conduction out of the...Ch. 1 - Suppose you stand with one foot on ceramic...Ch. 1 - A man consumes 3000 kcal of food in one day,...Ch. 1 - A firewalker runs across a bed of hot coals...Ch. 1 - (a) What is the rate of heat conduction through...Ch. 1 - A warms transfers energy by conduction through its...Ch. 1 - Compare the rate of heat conduction through a...Ch. 1 - Suppose a person is covered head to foot by wool...Ch. 1 - Some stove tops are smooth ceramic for easy...Ch. 1 - One easy way to reduce heating (and cooling) costs...Ch. 1 - Many decisions are made on the basis of the...Ch. 1 - In 1701, the Danish astronomer Ole Rømer proposed...Ch. 1 - What is the percent error of thinking the melting...Ch. 1 - An engineer wants to design a structure in which...Ch. 1 - How much stress is cleated in a steel beam if its...Ch. 1 - A brass rod (Y=90109N/m2), with a diameter of...Ch. 1 - A mercury thermometer still in use for meteorology...Ch. 1 - Even when shut down after a period of normal use,...Ch. 1 - You leave a pastry in the refrigerator on a plate...Ch. 1 - Two solid spheres, A and B, made of the same...Ch. 1 - In some countries, liquid nitrogen is used on...Ch. 1 - Some gun fanciers make their own bullets, which...Ch. 1 - A 0.800-kg iron cylinder at a temperature of...Ch. 1 - Repeat the preceding problem with 2.00 kg of ice...Ch. 1 - Repeat the preceding problem with 0.500 kg of ice,...Ch. 1 - A 30.0-g ice cube at its melting point is dropped...Ch. 1 - (a) Calculate the rate of heat conduction through...Ch. 1 - (a) An exterior wall of a house is 3 m tall and 10...Ch. 1 - For the human body, what is the rate of heat...Ch. 1 - You have a Dewar flask (a laboratory vacuum flask)...Ch. 1 - An infrared heater for a sauna has a surface area...Ch. 1 - (a) Deter-nine the power of radiation from the Sun...Ch. 1 - A pendulum is made of a rod of length L and...Ch. 1 - At temperatures of a few hundred kelvins the...Ch. 1 - In a calorimeter of negligible heat capacity, 200...Ch. 1 - An astronaut performing an extra-vehicular...Ch. 1 - The goal in this problem is to find the growth of...Ch. 1 - As the very first rudiment of climatology,...Ch. 1 - Let's stop ignoring the greenhouse effect and...
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